What is recorded here?
Defined a stochastic integral for suitable random integrands and established its core limiting and expectation properties in the 1944 note that underlies Itô stochastic calculus.
Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.
Scientific scope
The record is Itô's sole-author 1944 note, retaining the scope and notation of that work. It does not absorb his later stochastic differential-equation papers, the full modern Itô formula, Stratonovich integration or every semimartingale extension.
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People and systems
Kiyosi Itô
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Research locations and affiliations
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Documented countries / regions: Japan
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English catalogue narrative
Itô: stochastic integral
Defined a stochastic integral for suitable random integrands and established its core limiting and expectation properties in the 1944 note that underlies Itô stochastic calculus.
Scientific scope
The record is Itô's sole-author 1944 note, retaining the scope and notation of that work. It does not absorb his later stochastic differential-equation papers, the full modern Itô formula, Stratonovich integration or every semimartingale extension.
Reading status
This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.
People and systems
Kiyosi Itô
The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.